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Finding the Fourth Proportional to 5,684.34, 8,527.24 and 1,987.62

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Solution

The fourth proportional to 5,684.34, 8,527.24 and 1,987.62 is: 2,981.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.34 : 8,527.24 = 1,987.62 : x
  2. Step 2: Convert to fraction form
    5,684.34/8,527.24 = 1,987.62/x
  3. Step 3: Cross multiply
    5,684.34x = 8,527.24 × 1,987.62
  4. Step 4: Simplify right side
    5,684.34x = 16,948,912.77
  5. Step 5: Solve for x
    x = 16,948,912.77/5,684.34
  6. Step 6: Final answer
    x = 2,981.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.